On the infimum of a quasiconvex vector function over an intersection

DOI10.1007/s11750-011-0222-8zbMath1284.06045OpenAlexW2143662897WikidataQ57836319 ScholiaQ57836319MaRDI QIDQ1939084

Antonio Martinón, Juan-Enrique Martinez-Legaz

Publication date: 26 February 2013

Published in: Top (Search for Journal in Brave)

Full work available at URL: http://ddd.uab.cat/record/182378

zbMATH Keywords

quasiconvex functionsdistance to the intersection

Mathematics Subject Classification ID

Convex functions and convex programs in convex geometry (52A41) Convexity of real functions of several variables, generalizations (26B25) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Cone normed spaces and weighted means
• Approximation of the limit distance function in Banach spaces
• Boundedly connected sets and the distance to the intersection of two sets
• Banach-Kantorovich spaces
• Kantorovich spaces and the metrization problem
• \(K\)-metric and \(K\)-normed linear spaces: Survey
• Downward sets and their separation and approximation properties
• A note on the intersection of Banach subspaces
• A nonlinear scalarization function and generalized quasi-vector equilibrium problems
• Kantorovich spaces and optimization
• On the Separation and Order Law of Cancellation for Bounded Sets
• Distance to the intersection of two sets
• The Distance to the Intersection of Two Convex Sets Expressed by the Distances to Each of Them
• Distance to the intersection of normal sets and applications
• Best approximation by normal and conormal sets